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Finding the Fourth Proportional to 3,597.41, 5,392.91 and 1,405.64

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Solution

The fourth proportional to 3,597.41, 5,392.91 and 1,405.64 is: 2,107.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.41 : 5,392.91 = 1,405.64 : x
  2. Step 2: Convert to fraction form
    3,597.41/5,392.91 = 1,405.64/x
  3. Step 3: Cross multiply
    3,597.41x = 5,392.91 × 1,405.64
  4. Step 4: Simplify right side
    3,597.41x = 7,580,466.56
  5. Step 5: Solve for x
    x = 7,580,466.56/3,597.41
  6. Step 6: Final answer
    x = 2,107.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.